Accession Number : ADA190036

Title :   Development and Application of the p-Version of the Finite Element Method.

Descriptive Note : Final rept. 30 Sep 85-30 Sep 87,

Corporate Author : WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS

Personal Author(s) : Katz, I N ; Szabo, Barna A ; Greensfelder, A P

PDF Url : ADA190036

Report Date : 30 Dec 1987

Pagination or Media Count : 30

Abstract : The p-version of the finite element method is a new, important, computationally efficient, approach to finite element analysis. It is more robust than the conventional h-version and its rate of convergence, for domains with corners and for other singularity problems, is twice that of the h-version. Hierarchic elements which implement the p-version efficiently have been formulated so as to enforce C superscript 0 or C superscript 1 continuity in the planar case, and so as to enforce C superscript 0 continuity in three dimensions. Recent research accomplishments include: 1. Development of an algorithm that finds all roots of an analytic function in a finite domain. 2. Preprocessing procedures to restrict the search in unbounded domains which contain roots to bounded domains. 3. A reliable numerical argument principle algorithm to compute number of zeros within a closed contour. 4. Formulation of equations which determine the nature of stress singularity at a corner of a plate composed of n isotropic materials. All of the above are used in the extraction method for p-version finite element analysis of composite materials with corners.

Descriptors :   *FINITE ELEMENT ANALYSIS, ALGORITHMS, COMPOSITE MATERIALS, CONVERGENCE, EQUATIONS, EXTRACTION, FORMULATIONS, PREPROCESSING, RATES, STRESSES, EIGENVALUES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE